Elliptic curve isogeny class with LMFDB label 7935.d (Cremona label 7935b)

• Label: 7935.d
• Number of curves: $8$
• Conductor: $7935$
• CM: no
• Rank: $0$

Elliptic curves in class 7935.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7935.d1	7935b7	$[1, 1, 1, -1142651, 469654508]$	$1114544804970241/405$	$59954535045$	$[2]$	$50688$	$1.8586$
7935.d2	7935b5	$[1, 1, 1, -71426, 7313798]$	$272223782641/164025$	$24281586693225$	$[2, 2]$	$25344$	$1.5120$
7935.d3	7935b8	$[1, 1, 1, -58201, 10122788]$	$-147281603041/215233605$	$-31862298058849845$	$[2]$	$50688$	$1.8586$
7935.d4	7935b3	$[1, 1, 1, -42331, -3369886]$	$56667352321/15$	$2220538335$	$[2]$	$12672$	$1.1655$
7935.d5	7935b4	$[1, 1, 1, -5301, 66498]$	$111284641/50625$	$7494316880625$	$[2, 2]$	$12672$	$1.1655$
7935.d6	7935b2	$[1, 1, 1, -2656, -53056]$	$13997521/225$	$33308075025$	$[2, 2]$	$6336$	$0.81890$
7935.d7	7935b1	$[1, 1, 1, -11, -2272]$	$-1/15$	$-2220538335$	$[2]$	$3168$	$0.47232$	$\Gamma_0(N)$-optimal
7935.d8	7935b6	$[1, 1, 1, 18504, 523554]$	$4733169839/3515625$	$-520438672265625$	$[2]$	$25344$	$1.5120$

Rank

The elliptic curves in class 7935.d have rank $0$.

Complex multiplication

The elliptic curves in class 7935.d do not have complex multiplication.

Modular form 7935.2.a.d

Isogeny matrix

The $i,j$ entry is the smallest degree of a cyclic isogeny between the $i$-th and $j$-th curve in the isogeny class, in the LMFDB numbering.

$\left(\begin{array}{rrrrrrrr} 1 & 2 & 4 & 16 & 4 & 8 & 16 & 8 \\ 2 & 1 & 2 & 8 & 2 & 4 & 8 & 4 \\ 4 & 2 & 1 & 16 & 4 & 8 & 16 & 8 \\ 16 & 8 & 16 & 1 & 4 & 2 & 4 & 8 \\ 4 & 2 & 4 & 4 & 1 & 2 & 4 & 2 \\ 8 & 4 & 8 & 2 & 2 & 1 & 2 & 4 \\ 16 & 8 & 16 & 4 & 4 & 2 & 1 & 8 \\ 8 & 4 & 8 & 8 & 2 & 4 & 8 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.